Extensions 1→N→G→Q→1 with N=C₂×C₄₆ and Q=C₂²

Direct product G=N×Q with N=C₂×C₄₆ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₄₆		368		C2^3xC46	368,42

Semidirect products G=N:Q with N=C₂×C₄₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄₆)⋊C₂² = D₄×D₂₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₄₆	92	4+	(C2xC46):C2^2	368,31
(C₂×C₄₆)⋊₂C₂² = D₄×C₄₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	184		(C2xC46):2C2^2	368,38
(C₂×C₄₆)⋊₃C₂² = C₂×C₂₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	184		(C2xC46):3C2^2	368,36
(C₂×C₄₆)⋊₄C₂² = C₂³×D₂₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	184		(C2xC46):4C2^2	368,41

Non-split extensions G=N.Q with N=C₂×C₄₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄₆).C₂² = D₄⋊₂D₂₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₄₆	184	4-	(C2xC46).C2^2	368,32
(C₂×C₄₆).₂C₂² = C₄○D₄×C₂₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	184	2	(C2xC46).2C2^2	368,40
(C₂×C₄₆).₃C₂² = C₄×Dic₂₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	368		(C2xC46).3C2^2	368,10
(C₂×C₄₆).₄C₂² = Dic₂₃⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	368		(C2xC46).4C2^2	368,11
(C₂×C₄₆).₅C₂² = C₉₂⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	368		(C2xC46).5C2^2	368,12
(C₂×C₄₆).₆C₂² = D₄₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	184		(C2xC46).6C2^2	368,13
(C₂×C₄₆).₇C₂² = C₂³.D₂₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	184		(C2xC46).7C2^2	368,18
(C₂×C₄₆).₈C₂² = C₂×Dic₄₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	368		(C2xC46).8C2^2	368,27
(C₂×C₄₆).₉C₂² = C₂×C₄×D₂₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	184		(C2xC46).9C2^2	368,28
(C₂×C₄₆).₁₀C₂² = C₂×D₉₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	184		(C2xC46).10C2^2	368,29
(C₂×C₄₆).₁₁C₂² = D₉₂⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	184	2	(C2xC46).11C2^2	368,30
(C₂×C₄₆).₁₂C₂² = C₂²×Dic₂₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₄₆	368		(C2xC46).12C2^2	368,35
(C₂×C₄₆).₁₃C₂² = C₂²⋊C₄×C₂₃	central extension (φ=1)	184		(C2xC46).13C2^2	368,20
(C₂×C₄₆).₁₄C₂² = C₄⋊C₄×C₂₃	central extension (φ=1)	368		(C2xC46).14C2^2	368,21
(C₂×C₄₆).₁₅C₂² = Q₈×C₄₆	central extension (φ=1)	368		(C2xC46).15C2^2	368,39

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